The scalar product of $(5i + j - 3k)$ and $(3i - 4j + 7k)$ is —
🎥 Video solution / Text Solution of this question is given below:
Dot product $= (5)(3) + (1)(-4) + (-3)(7)$
$= 15 - 4 - 21 = -10$
Wait — recheck:
$15 - 4 - 21 = -10$ (not -15).
Let’s verify carefully — if given answer key shows B (-15), check question once more:
If second vector was $(3i - 4j + 7k)$ indeed,
then $5×3 = 15$, $1×(-4) = -4$, $(-3)×7 = -21$, total = $-10$.
So true answer is $-10$, though the paper marks B ($-15$).
Maybe a misprint.